After the analyses, Rosalind found a significant difference in test scores between taking the test somewhere on campus and taking it in the classroom, t(41)=2.02, p=.049. However, Rebecca found no significant difference between those who took the test somewhere on campus and those who took it in the classroom, t(41)=1.68, p=.099. Considering that Rebecca had a larger mean difference between the two conditions than Rosalind, why are their results so different? I think this deals with type I and type II error giving false positive and false negative respectively, but I wanted to know if there could possibly be anything additional.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
After the analyses, Rosalind found a significant difference in test scores between taking the test somewhere on campus and taking it in the classroom, t(41)=2.02, p=.049. However, Rebecca found no significant difference between those who took the test somewhere on campus and those who took it in the classroom, t(41)=1.68, p=.099. Considering that Rebecca had a larger mean difference between the two conditions than Rosalind, why are their results so different?
I think this deals with type I and type II error giving false positive and false negative respectively, but I wanted to know if there could possibly be anything additional.
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